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Finding the Third Proportional to 157,632 and 236,604

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Solution

The third proportional to 157,632 and 236,604 is: 355,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,632 : 236,604 = 236,604 : x
  2. Step 2: Convert to fraction form
    157,632/236,604 = 236,604/x
  3. Step 3: Cross multiply
    157,632x = 236,604 × 236,604
  4. Step 4: Simplify right side
    157,632x = 55,981,452,816
  5. Step 5: Solve for x
    x = 55,981,452,816/157,632
  6. Step 6: Final answer
    x = 355,140.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.